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Speed
Distance / time
Avg Velocity
Δx / time
Instant Velocity ( 𝑣⃗ )
𝑣⃗ = Lim (Δx / time) as time approaches 0
Distance
total amount moved. Scalar, always positive
Displacement
Change in position. Vector, has a direction.
Displacement formula (Δx)
Δx = xf - xi
derivative formula
v = dx / dt or a = dv / dt etc.
Acceleration over a period of time
a = ΔV / t